Control Engineering for BME
Faculteit | Science and Engineering |
Jaar | 2021/22 |
Vakcode | WMBE024-05 |
Vaknaam | Control Engineering for BME |
Niveau(s) | master |
Voertaal | Engels |
Periode | semester I a |
ECTS | 5 |
Rooster | rooster.rug.nl |
Uitgebreide vaknaam | Control Engineering for BME | ||||||||||||||||||||||||
Leerdoelen | At the end of the course, the student is able to: 1) construct control-oriented mathematical models of simple (electro-mechanical) physical/engineering systems from first principles. 2) distinguish the difference between linear and nonlinear dynamic behavior of physical systems, and construct Jacobian linear approximations around equilibrium or operation points. 3) analyze the stability properties of general linear time-invariant (LTI) systems via the Routh-Hurwitz criterion. Study the stability of nonlinear systems via its Jacobian linear approximation (first Lyapunov method). 4) solve the LTI state-space equations via the exponential matrix, analyze the input/output time response to common input signals (impulse, step, sinusoidal) of LTI systems in the state-space. 5) analyze structural properties of LTI systems such as reachability (or controllability), stabilizability, observability, and detectability. 6) design full-state feedback controllers, Luenberger observers, and observer-based dynamic output feedback controllers. 7) define transfer functions of LTI from the I/O response to exponential inputs and their properties, and simplify block diagrams of feedback systems. Analyze the steady-state error via the position and velocity constants. 8) Analyze the response and stability of feedback systems via the root-locus plot, Bode plots, and the Nyquist criterion. 9) Design PID controllers via analytical methods and Zeigler-Nichols tuning rules; and include practical implementation considerations like filtered-derivative and anti-windup integral. 10) Design of feedback controllers using loop-shaping design methods and sensitivity functions. |
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Omschrijving | This course presents an introduction to the analysis and design of linear feedback control systems using state-space and classical control methods. The topics covered in this course will be presented from a mathematical and engineering perspective. Such control topics are motivated by (simple) physical systems that often appear in modern high-tech applications. The course is divided into three parts: i) control-oriented modeling of physical and engineering systems, ii) analysis of linear time-invariant (LTI) dynamical systems iii) synthesis of linear feedback control schemes (state-feedback, observers, PID, loop-shaping) To enrich the control engineering experience, the theoretical concepts will be complemented with numerical simulations in Matlab/Simulink and on (virtual) laboratory experiments. |
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Uren per week | |||||||||||||||||||||||||
Onderwijsvorm |
Hoorcollege (LC), Opdracht (ASM), Practisch werk (PRC), Werkcollege (T)
(Note that before the fist tutorial session, students must pass the remedial mathematics exam. This exam can be done multiple times until the student passes without any consequence.) |
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Toetsvorm |
Schriftelijk tentamen (WE)
(The final mark of the course is determined by the written exam only. The pass mark is >5.5. Attendance to 80% of tutorial sessions and complete computer and lab assignments give only a go/no-go outcome.) |
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Vaksoort | master | ||||||||||||||||||||||||
Coördinator | R. Reyes Báez, PhD. | ||||||||||||||||||||||||
Verplichte literatuur |
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Entreevoorwaarden | The following list states the necessary prior knowledge and the course where it is acquired: - Linear Algebra (for IEM/BME): linear matrix equations, vector spaces, eigenvalues & eigenvectors - Calculus 1 (for IEM): differentiation, integration, Taylor polynomial, complex numbers - Signals and Systems for IEM/BME: complex functions, Laplace transform and convolution, - Electronics: Kirchhoff's current and voltage laws - Mechanics: Linear and rotational Newton's laws |
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Opmerkingen | Note: - Students must pass the remedial mathematics exam before the first tutorial session. This exam can be done multiple times until the student passes without any consequence. - The student must attend the first and last lectures, at least 80% of the tutorial sessions, the two computer sessions, and the (virtual) laboratory session. If a student misses one of the aforementioned parts, then he/she/they is not allowed to present the written exam. Due to Corona/Covid regulations the above mentioned Teaching method and/or Assessment could be subject to change. Study load: Lecture: 32 hours Tutorial: 24 hours Assignments: 18 hours Practical's: 16 hours Self-study: 50 hours Total: 140 hours (= 5 ECTS) |
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